Open AccessOn the Fourier Transform Related to the Diamond Klein - Gordon Kernel
Author(s) -
Sudprathai Bupasiri
Publication year - 2021
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v14i4.4101
Subject(s) - mathematics , iterated function , combinatorics , kernel (algebra) , fourier transform , operator (biology) , integer (computer science) , diamond , mathematical analysis , biochemistry , chemistry , organic chemistry , repressor , computer science , transcription factor , gene , programming language
In this article, we study the fundamental solution of the operator $$\left((\diamond+m^2)\left(\frac{\triangle^2+\boxdot^2}{2}\right)\right)^{k}$$, iterated $k$-times and is defined by (\ref{odot}),where $m$ is a nonnegative real number, and $k$ is a nonnegative integer. After that, we study the Fourier transform of the operator $ \left((\diamond+m^2)\left(\frac{\triangle^2+\boxdot^2}{2}\right)\right)^{k}\delta$.